Abstract
This paper is concerned with the generalized hematopoiesis model with discontinuous harvesting terms. Under the framework of Filippov solution, by means of the differential inclusions and the topological degree theory in set-valued analysis, we have established the existence of the bounded positive periodic solutions for the addressed models. After that, based on the nonsmooth analysis theory with Lyapunov-like approach, we employ a novel argument and derive some new criteria on the uniqueness, global exponential stability of the addressed models and convergence of the corresponding autonomous case of the addressed models. Our results extend previous works on hematopoiesis model to the discontinuous harvesting terms and some corresponding results in the literature can be enriched and extended. In addition, typical examples with numerical simulations are given to illustrate the feasibility and validity of obtained results.
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